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Finding the Fourth Proportional to 22,737.68, 31,392 and 14,678.42

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Solution

The fourth proportional to 22,737.68, 31,392 and 14,678.42 is: 20,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.68 : 31,392 = 14,678.42 : x
  2. Step 2: Convert to fraction form
    22,737.68/31,392 = 14,678.42/x
  3. Step 3: Cross multiply
    22,737.68x = 31,392 × 14,678.42
  4. Step 4: Simplify right side
    22,737.68x = 460,784,960.64
  5. Step 5: Solve for x
    x = 460,784,960.64/22,737.68
  6. Step 6: Final answer
    x = 20,265.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.